 The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. B' ADC A' D' C' Hyp. In triangles ABC and A'B'C', ZA = ZA'. To prove = — • A A'B'C'...  Plane Geometry - Page 218by George D. Pettee - 1896 - 253 pagesFull view - About this book
 | Electronic journals - 1917 - 528 pages
...a# their bases. THEOREM 4. Pentahedroids which have a hyperspace angle of one equal to a hyperspace angle of the other are to each other as the products of the edges of 1he equal hyperspace angles. From theorems 3 and 4 we get at once, THEOREM 5. Similar pentaJiedroids... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...altitudes. PROPOSITION XX. THEOREM. 531. Two tetraedrons having a triedral of one equal to a triedral of the other, are to each other as the products of the edges Including the equal triedrals. OA' x OB' X OC'' Draw CP and C'P' perpendicular to the face OA'B'.... | |
 | John Macnie - Geometry - 1895 - 386 pages
...same diagram, show that rect. A E- (AB+ EBy^T? — Elf. PROPOSITION VIII. THEOREM. 341. Triangles that have an angle of the one equal to an angle of the other, are to each other as the rectangles contained by the sides including those angles. AD c A, D, a' Given: Two triangles, ABC,... | |
 | George Albert Wentworth - Geometry - 1895 - 458 pages
...VII. THEOREM. 374. The areas of two triangles which have an angle of the one equal to an angle of tlie other are to each other as the products of the sides including the equal angles. Let the triangles ABC and ADE have the common angle A. AA£C ABxAC To prove Proof. Now A ADE AD X AE... | |
 | John Macnie - Geometry - 1895 - 390 pages
...PROPOSITION XVII. THEOREM. 561. Tetrahedrons with a trihedral angle of the one equal to a trihedral angle of the other, are to each other as the products of the edges of these trihedral angles. Given : V and F*, the volumes of two tetrahedrons having trihedral... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...incorrect method. PROPOSITION VIII. THEOREM 398. The areas of two triangles which have an angle of one equal to an angle of the other are to each other as the products of the sides including those angles. GIVEN — the triangles ADE and ABC placed so that their equal angles coincide at A.... | |
 | George Albert Wentworth - Geometry - 1896 - 296 pages
...which is 1 inch ? Ex. 292. The areas of two triangles which have an angle of the one supplementary to an angle of the other are to each other as the products of the sides including the supplementary angles. Let the A ABC and A'B'C' have the A ACB and A'ffB' supplements of each other.... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...method. PROPOSITION VIII. THEOREM 308. The areas of two triangles which have an angle of. one equal to nn angle of the other are to each other as the products of the sides including^those angles. GIVEN — the triangles ADE and ABC placefl so that their equal angles coincide... | |
 | Joe Garner Estill - Geometry - 1896 - 168 pages
...circumference, is twelve units. Find the diameter of the circle. 5. Two triangles having an angle of one equal to an angle of the other are to each other as the product of the sides including the equal angles. 6. Find the ratio of the radius of a circle to the... | |
 | Joe Garner Estill - 1896 - 186 pages
...circumference, is twelve units. Find the diameter of the circle. 5. Two triangles having an angle of one equal to an angle of the other are to each other as the product of the sides including the equal angles. 6. Find the ratio of the radius of a circle to the... | |
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